A tirangle hs vertices `(1,2,4`),`(-2,2,1) `and `(2,4,-3)`. Prove that the triangle is right angled triangle

If r_1=r_2+r_3+r prove that the triangle is right angled .

If r_1=r_2+r_3+r prove that the triangle is right angled .

Find the lengths of the sides of the triangle whose vertices are A(2,4,-1),(4,5,1),C(3,6,-3) and show that the triangle is right angled.

Is the triangle, whose vertices are (5, -6), (1, 2) and (-7, -2) , a right-angled triangle, an acute-angled triangle or an obtuse-angled triangle?

Prove that points (2,-1,1),(1,-3,-5) and (3,-4,-4) are the vertices of a righat angled triangle.

STATEMENT-1 : The triangle with vertices (1, 3, 5), (2, 4, 6) and (0, 5, 7) must be a right angle triangle. and STATEMENT-2 : If the dot product of two non-zero vectors is zero then they must be perpendicular.

area of the triangle with vertices A(3,4,-1), B(2,2,1) and C(3,4,-3) is :

If in a triangle r_1=r_2+r_3+r , prove that the triangle is right angled.

Prove that the points A(-5,4),B(-1,-2) and C(5,2) are the vertices of an isosceles right angled triangles.

Show that the points (1, 2, -2), (2, 3, -4) and (3, 4, -3) form a right angled triangle.